STABLE RANK OF LEAVITT PATH ALGEBRAS OF ARBITRARY GRAPHS

DOI10.1017/S0004972712000913zbMath1287.16009arXiv1208.4141MaRDI QIDQ2865124

Hossein Larki, Abdolhamid Riazi

Publication date: 28 November 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4141

zbMATH Keywords

directed graphsLeavitt path algebrasstable ranksrow-finite graphspurely infinite simple quotients

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Stable range conditions (19B10)

Related Items

Purely infinite simple Kumjian-Pask algebras ⋮ On Leavitt path algebras of Hopf graphs

Cites Work

• \(K_0\) of purely infinite simple regular rings
• Purely infinite simple Leavitt path algebras.
• Exchange Leavitt path algebras and stable rank
• Finite-dimensional Leavitt path algebras.
• Locally finite Leavitt path algebras.
• Socle theory for Leavitt path algebras of arbitrary graphs.
• Nonstable \(K\)-theory for graph algebras.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Stable rank of rings and dimensionality of topological spaces
• The \(C^*\)-algebras of arbitrary graphs
• The Leavitt path algebra of a graph.
• Stabe rank of graph algebras: Type I graph algebras and their limits
• Stable rank of Leavitt path algebras
• Stability of $\boldsymbol {C^*}$-algebras associated to graphs
• Chain conditions for Leavitt path algebras

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